Self-similar group actions on ultragraphs and associated $C^*$-algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916742033309696 |
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| author | Larki, Hossein Rajabzadeh-Hasiri, Najmeh |
| author_facet | Larki, Hossein Rajabzadeh-Hasiri, Najmeh |
| contents | As a generalization of the Exel-Pardo's notion of self-similar graph, we introduce self-similar group actions on ultragraphs and their $C^*$-algebras. We then approach to the $C^*$-algebras by inverse semigroup and tight groupoid models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11949 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-similar group actions on ultragraphs and associated $C^*$-algebras Larki, Hossein Rajabzadeh-Hasiri, Najmeh Operator Algebras 46L05 As a generalization of the Exel-Pardo's notion of self-similar graph, we introduce self-similar group actions on ultragraphs and their $C^*$-algebras. We then approach to the $C^*$-algebras by inverse semigroup and tight groupoid models. |
| title | Self-similar group actions on ultragraphs and associated $C^*$-algebras |
| topic | Operator Algebras 46L05 |
| url | https://arxiv.org/abs/2505.11949 |